Tsallis distribution from minimally selected order statistics

TL;DR

This paper shows that selecting the minimal value from ordered variables naturally results in a Tsallis distribution, linking it to nonextensive statistics and suggesting applications in multiparticle production processes.

Contribution

It establishes a novel connection between minimal order statistics and Tsallis distribution, providing a new perspective on nonextensive statistical mechanics.

Findings

Minimal value selection yields Tsallis distribution.

Connection between order statistics and nonextensive statistics.

Potential application to multiparticle production processes.

Abstract

We demonstrate that selection of the minimal value of ordered variables leads in a natural way to its distribution being given by the Tsallis distribution, the same as that resulting from Tsallis nonextensive statistics. The possible application of this result to the multiparticle production processes is indicated.